The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces. II (Q1077786)

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scientific article; zbMATH DE number 3958308
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The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces. II
scientific article; zbMATH DE number 3958308

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    The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces. II (English)
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    1984
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    [For part I see ibid. 23, 369-395 (1983; Zbl 0565.58041).] Let \(\Delta\) be the Laplacian of the Killing metric on a simply connected compact irreducible Riemannian symmetric space. A collection of tables is given for the spectrum of \(\Delta\) on 1-forms. The author employs the classification theory of symmetric spaces and other techniques from representation theory for compact groups.
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    Laplacian of the Killing metric
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    symmetric space
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    spectrum of \(\Delta \)
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    representation theory for compact groups
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